surface_plot_edge.cpp File Reference

Surface with an undefined regions. More...

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Detailed Description

Surface with an undefined regions.

Author

Mitch Richling http://www.mitchr.me/

Date

2024-07-16

Standards

C++23

Copyright

Copyright (c) 2024, Mitchell Jay Richling http://www.mitchr.me/ All rights reserved.

Redistribution and use in source and binary forms, with or without modification, are permitted provided that the following conditions are met:

1. Redistributions of source code must retain the above copyright notice, this list of conditions, and the following disclaimer.
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Details

Surface plots are frequently complicated by regions upon which the function singular or undefined. These functions often behave quite poorly on the boundaries of such regions. For this example we consider \(f(x, y)=\sqrt{1-x^2-y^2}\) – the upper half of the unit sphere. Outside the unit circle this function is complex. As we approach the unit circle from the center, the derivative approaches infinity.

Right now this example illustrates two things:

• How to drive up the sample rate near NaNs.
• How to repair triangles containing NaNs.

Definition in file surface_plot_edge.cpp.